What is the Greatest Common Factor of 79580 and 79594?

Greatest common factor (GCF) of 79580 and 79594 is 2.

GCF(79580,79594) = 2

We will now calculate the prime factors of 79580 and 79594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79580 and 79594.

How to find the GCF of 79580 and 79594?

We will first find the prime factorization of 79580 and 79594. After we will calculate the factors of 79580 and 79594 and find the biggest common factor number .

Step-1: Prime Factorization of 79580

Prime factors of 79580 are 2, 5, 23, 173. Prime factorization of 79580 in exponential form is:

79580 = 2² × 5¹ × 23¹ × 173¹

Step-2: Prime Factorization of 79594

Prime factors of 79594 are 2, 17, 2341. Prime factorization of 79594 in exponential form is:

79594 = 2¹ × 17¹ × 2341¹

Step-3: Factors of 79580

List of positive integer factors of 79580 that divides 79580 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 173, 230, 346, 460, 692, 865, 1730, 3460, 3979, 7958, 15916, 19895, 39790

Step-4: Factors of 79594

List of positive integer factors of 79594 that divides 79580 without a remainder.

1, 2, 17, 34, 2341, 4682, 39797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79580 and 79594. The biggest common factor number is the GCF number.
So the greatest common factor 79580 and 79594 is 2.

Also check out the Least Common Multiple of 79580 and 79594